The weight of a loaf of bakery bread at the grocery store follows a Normal distribution with a mean of µ = 12 ounces and a standard deviation of σ = 1 ounce. Suppose we pick four loaves at random from the bin and find their total weight, W. Which of the following statements describes the random variable W? O The random variable W is binomial, with a mean of 48 ounces and a standard deviation of two ounces. O The random variable W is binomial, with a mean of 12 ounces and a standard deviation of two ounces. O The random variable W is Normal, with a mean of 12 ounces and a standard deviation of one ounce. O The random variable W is Normal, with a mean of 48 ounces and a standard deviation of two ounces. O The random variable W is Normal, with a mean of 48 ounces and a standard deviation of four ounces.

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The weight of a loaf of bakery bread at the grocery store follows a Normal distribution with a mean of µ = 12 ounces and a standard deviation of σ = 1 ounce. Suppose we pick four loaves at random from the bin and
find their total weight, W. Which of the following statements describes the random variable W?
O The random variable W is binomial, with a mean of 48 ounces and a standard deviation of two ounces.
O The random variable W is binomial, with a mean of 12 ounces and a standard deviation of two ounces.
O The random variable W is Normal, with a mean of 12 ounces and a standard deviation of one ounce.
O The random variable W is Normal, with a mean of 48 ounces and a standard deviation of two ounces.
O The random variable W is Normal, with a mean of 48 ounces and a standard deviation of four ounces.
Transcribed Image Text:The weight of a loaf of bakery bread at the grocery store follows a Normal distribution with a mean of µ = 12 ounces and a standard deviation of σ = 1 ounce. Suppose we pick four loaves at random from the bin and find their total weight, W. Which of the following statements describes the random variable W? O The random variable W is binomial, with a mean of 48 ounces and a standard deviation of two ounces. O The random variable W is binomial, with a mean of 12 ounces and a standard deviation of two ounces. O The random variable W is Normal, with a mean of 12 ounces and a standard deviation of one ounce. O The random variable W is Normal, with a mean of 48 ounces and a standard deviation of two ounces. O The random variable W is Normal, with a mean of 48 ounces and a standard deviation of four ounces.
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